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LCM of 748, 344, 303, 153

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 748, 344, 303, 153 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 748, 344, 303, 153. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 748,344,303,153

Given numbers are 748,344,303,153

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 748,344,303,153 is 58474152.

Find LCM of 748,344,303,153 with Prime Factorization


2 748, 344, 303, 153
2 374, 172, 303, 153
3 187, 86, 303, 153
17 187, 86, 101, 51
11, 86, 101, 3

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 17 x 11 x 86 x 101 x 3 = 58474152

Therefore, the lowest common multiple of 748,344,303,153 is 58474152.

LCM Formula to Find Lowest Common Multiple of 748,344,303,153

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

748 x 344 x 303 x 153 = 11928727008

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

344 : 1, 2, 4, 8, 43, 86, 172, 344

303 : 1, 3, 101, 303

153 : 1, 3, 9, 17, 51, 153

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,344,303,153, is 1.

Now, the common factors can be found like this.

748:2x 2x 11x 17

344:2x 2x 2x 43

303:3x 101

153:3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 17 = 204

Therefore, the value for common factors is 204.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 11928727008/(1x204)

LCM = 11928727008/204

LCM = 58474152

Thus, we can understand that the LCM of 748,344,303,153 is 58474152.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 748, 344, 303, 153

1. What is the LCM of 748, 344, 303, 153?

Answer: LCM of 748, 344, 303, 153 is 58474152.

2. How to calculate the LCM of 748, 344, 303, 153?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 748, 344, 303, 153.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.